1008601344 has 108 divisors (see below), whose sum is σ = 2938677196. Its totient is φ = 332660736.

The previous prime is 1008601331. The next prime is 1008601351. The reversal of 1008601344 is 4431068001.

1008601344 is a `hidden beast` number, since 10 + 0 + 8 + 601 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137170944 + 871430400 = 11712^2 + 29520^2 .

It is a super-2 number, since 2×1008601344² = 2034553342237212672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221232 + ... + 225744.

Almost surely, 2^1008601344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469338598).

1008601344 is an abundant number, since it is smaller than the sum of its proper divisors (1930075852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008601344 is an equidigital number, since it uses as much as digits as its factorization.

1008601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1008601344 is about 31758.4845986077. The cubic root of 1008601344 is about 1002.8589333774.

Adding to 1008601344 its reverse (4431068001), we get a palindrome (5439669345).

The spelling of 1008601344 in words is "one billion, eight million, six hundred one thousand, three hundred forty-four".